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Simplifying 2a3b(3a2b + ab2) = 0 Reorder the terms: 2a3b(ab2 + 3a2b) = 0 (ab2 * 2a3b + 3a2b * 2a3b) = 0 (2a4b3 + 6a5b2) = 0 Solving 2a4b3 + 6a5b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a4b2'. 2a4b2(b + 3a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a4b2' equal to zero and attempt to solve: Simplifying a4b2 = 0 Solving a4b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4b2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(b + 3a)' equal to zero and attempt to solve: Simplifying b + 3a = 0 Reorder the terms: 3a + b = 0 Solving 3a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 3a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 3a + 0 = 0 + -1b 3a = 0 + -1b Remove the zero: 3a = -1b Divide each side by '3'. a = -0.3333333333b Simplifying a = -0.3333333333bSolution
a = {-0.3333333333b}
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